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Finding the Fourth Proportional to 208,586.98, 312,694.91 and 75,437.63

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Solution

The fourth proportional to 208,586.98, 312,694.91 and 75,437.63 is: 113,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,586.98 : 312,694.91 = 75,437.63 : x
  2. Step 2: Convert to fraction form
    208,586.98/312,694.91 = 75,437.63/x
  3. Step 3: Cross multiply
    208,586.98x = 312,694.91 × 75,437.63
  4. Step 4: Simplify right side
    208,586.98x = 23,588,963,328.01
  5. Step 5: Solve for x
    x = 23,588,963,328.01/208,586.98
  6. Step 6: Final answer
    x = 113,089.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.